SOLUTION: Lindsay can row 10km/h in still water. If she can travel 20 km downstream in the same time that she can travel 5 km upstream, what is the speed of the current?

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Question 860610: Lindsay can row 10km/h in still water. If she can travel 20 km downstream in the same time that she can travel 5 km upstream, what is the speed of the current?
Answer by dkppathak(439) About Me  (Show Source):
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Lindsay can row 10km/h in still water. If she can travel 20 km downstream in the same time that she can travel 5 km upstream, what is the speed of the current?
Let speed of water current is x Km/hrs
speed of Boat is 10 km/hrs
speed in up stream will be 10-x km/hrs
speed in down stream will be 10+x km/hrs
as per given condition
time taken in up stream= 5/10-x
time taken in down stream =20/10+x
therefor time taken in both conditions are equal
5/10-x=20/10+x by cross multiplication
5(10+x)=20(10-x)
50+5x=200-20x
5x+20x=200-50
25x=150
x=150/25
x=6 km /hrs
Answe 6 km/hrs